Mathematical and Statistics Journals

  • L. Dümbgen and A. Mösching (2023)
    On Stochastic Orders and Total Positivity [arXiv, DOI]
    ESAIM: Probability and Statistics 27, 461-481.
  • L. Dümbgen and Jon A. Wellner (2023)
    A New Approach to Tests and Confidence Bands for Distribution Functions [arXiv, DOI]
    Annals of Statistics 51(1), 260-289.
  • A. Henzi and L. Dümbgen (2023)
    Some New Inequalities for Beta Distributions [arXiv, DOI]
    Statistics and Probability Letters 195.
  • T. Dimitriadis, L. Dümbgen, A. Henzi, M. Puke and J. Ziegel (2023)
    Honest Calibration Assessment for Binary Outcome Predictions [arXiv, DOI]
    Biometrika, in press.
  • A. Henzi, A. Mösching and L. Dümbgen (2022)
    Accelerating the Pool-Aadjacent Violators Algorithm for Isotonic Distributional Regression [arXiv, DOI]
    Methodology and Computing in Applied Probability 24(4), 2633-2645.
  • L. Dümbgen, A. Mösching and C. Strähl (2021)
    Active Set Algorithms for Estimating Shape-Constrained Density Ratios [arXiv, DOI]
    Computational Statistics and Data Analysis 163.
  • L. Dümbgen, R.J. Samworth and J.A. Wellner (2021)
    Bounding Distributional Errors via Density Ratios [arXiv, DOI]
    Bernoulli 27(2), 818-852.
  • L. Dümbgen and J.A. Wellner (2020)
    The Density Ratio of Generalized Binomial versus Poisson Distributions [arXiv, DOI]
    Statistics and Probability Letters 165.
  • A. Mösching and L. Dümbgen (2020)
    Monotone Least Squares and Isotonic Quantiles [arXiv, DOI]
    Electronic Journal of Statistics 14(1), 24-49.
  • L. Dümbgen and E. Zamanzade (2020)
    Inference on a Distribution Function from Ranked Set Samples [arXiv, DOI]
    Annals of the Institute of Statistical Mathematics 72(1), 157-185.
  • L. Dümbgen, P. Kolesnyk and R.A. Wilke (2017)
    Bi-Log-Concave Distribution Functions [arXiv]
    Journal of Statistical Planning and Inference 184, 1-17.
  • N. Zumbrunnen and L. Dümbgen (2017)
    pvclass: An R Package for P-Values for Classification [DOI]
    Journal of Statistical Software 78(4), 1-19.
  • L. Dümbgen, J.A. Wellner and M. Wolff (2016)
    A Law of the Iterated Logarithm for Grenander’s Estimator [arXiv]
    Stochastic Processes and their Applications 126(12), 3854-3864.
  • L. Dümbgen, K. Nordhausen and H. Schuhmacher (2016)
    New Algorithms for M-Estimation of Multivariate Scatter and Location [arXiv]
    Journal of Multivariate Analysis 144, 200-217.
  • L. Dümbgen, M. Pauly and T. Schweizer (2015)
    M-Functionals of Multivariate Scatter [arXiv]
    Statistics Surveys 9, 32-105.
  • L. Dümbgen, K. Rufibach and D. Schuhmacher (2014)
    Maximum-Likelihood Estimation of a Log-Concave Density Based on Censored Data [arXiv]
    Electronic Journal of Statistics 8, 1405-1437.
  • J. Schmidt-Hieber, A. Munk and L. Dümbgen (2013)
    Multiscale Methods for Shape Constraints in Deconvolution: Confidence Statements for Qualitative Features [arXiv]
    Annals of Statistics 41(3), 1299-1328.
  • A. Rohde and L. Dümbgen (2013)
    Statistical Inference for the Optimal Approximating Model [DOI]
    Probability Theory and Related Fields 155(3-4), 839-865.
  • D. Schuhmacher, A. Hüsler and L. Dümbgen (2011)
    Multivariate Log-Concave Distributions as a Nearly Parametric Model [arXiv]
    Statistics and Risk Modeling 28(3), 277-295.
  • L. Dümbgen, R. Samworth and D. Schuhmacher (2011)
    Approximation by Log-Concave Distributions, with Applications to Regression [arXiv]
    Annals of Statistics 39(2), 702-730.
  • L. Dümbgen and K. Rufibach (2011)
    logcondens: Computations Related to Univariate Log-Concave Density Estimation [URL]
    Journal of Statistical Software 39(6).
  • D. Schuhmacher and L. Dümbgen (2010)
    Consistency of Multivariate Log-Concave Density Estimators.
    Statistics & Probability Letters 80(5-6), 376-380.
  • L. Dümbgen, S.A. van de Geer, M.C. Veraar and J.A. Wellner (2010)
    Nemirovski's Inequalities Revisited [arXiv]
    American Mathematical Monthly 117(2), 138-160.
  • R.J. Beran and L. Dümbgen (2010)
    Least Squares and Shrinkage Estimation under Bimonotonicity Constraints [arXiv]
    Statistics and Computing 20(2),177-189.
  • D.E. Tyler, F. Critchley, L. Dümbgen and H. Oja (2009)
    Invariant Co-ordinate Selection (with discussion) [DOI]
    Journal of the Royal Statistical Society, Series B 71(3), 549-592.
  • N. Bissantz, L. Dümbgen, A. Munk and B. Stratmann (2009).
    Generalized Iteratively Reweighted Least Squares on Convex Function Spaces: Convergence Analysis and Applications [DOI]
    SIAM Journal on Optimization 19(4), 1828-1845.
  • L. Dümbgen and K. Rufibach (2009)
    Maximum Likelihood Estimation of a Log-Concave Density and its Distribution Function: Basic Properties and Uniform Consistency [arXiv]
    Bernoulli 15(1), 40-68. (Extended version: Technical report 66, IMSV, Univ. of Bern)
  • L. Dümbgen and A. Kovac (2009)
    Extensions of Smoothing via Taut Strings [arXiv]
    Electronic Journal of Statistics 3, 41-75.
  • L. Dümbgen, B.-W. Igl and A. Munk (2008)
    P-Values for Classification [arXiv]
    Electronic Journal of Statistics 2, 468-493.
  • L. Dümbgen and C. Leuenberger (2008)
    Explicit Bounds for the Approximation Error in Benford's Law [arXiv]
    Electronic Communications in Probability 13, 99-112.
  • L. Dümbgen and G. Walther (2008)
    Multiscale Inference about a Density [arXiv]
    Annals of Statistics 36(4), 1758-1785. (Extended version: Technical report 56, IMSV, Univ. of Bern)
  • L. Dümbgen and H. Riedwyl (2007)
    On Fences and Asymmetry in Box-and-Whiskers Plots [DOI]
    The American Statistician 61(4), 356-359.
  • N. Bissantz, L. Dümbgen, H. Holzmann and A. Munk (2007)
    Nonparametric Confidence Bands in Deconvolution Density Estimation.
    Journal of the Royal Statistical Society, Series B 69, 483-506.
  • L. Dümbgen, S. Freitag-Wolf and G. Jongbloed (2006)
    Estimating a Unimodal Distribution from Interval-Censored Data [DOI]
    Journal of the American Statistical Association 101(475), 1094-1106.
  • L. Dümbgen, V.I. Piterbarg and D. Zholud (2006)
    On the Limit Distribution of Multiscale Test Statistics for Nonparametric Curve Estimation.
    Mathematical Methods of Statistics 15, 20-25.
  • L. Dümbgen and D. Tyler (2005).
    On the Breakdown Properties of some Multivariate M-Functionals [URL]
    Scandinavian Journal of Statistics 32(2), 247-264.
  • L. Dümbgen, S. Freitag and G. Jongbloed (2004)
    Consistency of Concave Regression, with an Application to Current-Status Data.
    Mathematical Methods of Statistics 13, 69-81.
  • L. Dümbgen and R.B. Johns (2004)
    Confidence Bands for Isotonic Median Curves using Sign-Tests [DOI]
    Journal of Computational and Graphical Statistics 13(2), 519-533.
  • L. Dümbgen (2003)
    Optimal Confidence Bands for Shape-Restricted Curves [arXiv]
    Bernoulli 9, 423-449.
  • L. Dümbgen (2002)
    Application of Local Rank Tests to Nonparametric Regression [DOI]
    Journal of Nonparametric Statistics 14(5), 511-537.
  • L. Dümbgen and V.G. Spokoiny (2001)
    Multiscale Testing of Qualitative Hypotheses [URL]
    Annals of Statistics 29(1), 124-152.
  • R.J. Beran and L. Dümbgen (1998)
    Modulation of Estimators and Confidence Sets [DOI]
    Annals of Statistics 26(5), 1826-1856.
  • L. Dümbgen (1998)
    On Tyler's M-Functional of Scatter in High Dimension [DOI]
    Annals of the Institute of Statistical Mathematics 50(3), 471-491.
  • L. Dümbgen (1998)
    New Goodness-of-Fit Tests and their Application to Nonparametric Confidence Sets [DOI]
    Annals of Statistics 26(1), 288-314.
  • L. Dümbgen (1998)
    Perturbation Inequalities and Confidence Sets for Functions of a Scatter Matrix [DOI]
    Journal of Multivariate Analysis 65(1), 19-35.
  • L. Dümbgen (1998)
    Symmetrization and Decoupling of Combinatorial Random Elements [DOI]
    Statistics & Probability Letters 39(4), 355-361.
  • L. Dümbgen and G. Walther (1996)
    Rates of Convergence for Random Approximations of Convex Sets [DOI]
    Advances in Applied Probability 28(2), 384-393.
  • L. Dümbgen (1995).
    Minimax Tests for Convex Cones [DOI]
    Annals of the Institute of Statistical Mathematics 47(1), 155-165.
  • L. Dümbgen (1995)
    Likelihood Ratio Tests for Principal Components [DOI]
    Journal of Multivariate Analysis 52(2), 245-258.
  • L. Dümbgen (1995)
    A Simple Proof and Refinement of Wielandt's Eigenvalue Inequality [DOI]
    Statistics & Probability Letters 25(2), 113-115.
  • L. Dümbgen (1994)
    Combinatorial Stochastic Processes [DOI]
    Stochastic Processes and their Applications 52(1), 75-92.
  • L. Dümbgen (1993)
    On Nondifferentiable Functions and the Bootstrap [DOI]
    Probability Theory and Related Fields 95(1), 125-140.
  • L. Dümbgen (1992)
    Limit Theorems for the Simplicial Depth [DOI]
    Statistics & Probability Letters 14(2), 119-128.
  • L. Dümbgen (1991)
    The Asymptotic Behavior of some Nonparametric Changepoint Estimators [URL]
    Annals of Statistics 19(3), 1471-1495.